
Fractional Cauchy Transforms
Rita A. Hibschweiler(Author)
Chapman & Hall/CRC (Publisher)
1st Edition
Will be published approx. on 1. November 2005
Book
Hardback
268 pages
978-1-58488-560-3 (ISBN)
Description
Presenting new results along with research spanning five decades, Fractional Cauchy Transforms provides a full treatment of the topic, from its roots in classical complex analysis to its current state. Self-contained, it includes introductory material and classical results, such as those associated with complex-valued measures on the unit circle, that form the basis of the developments that follow. The authors focus on concrete analytic questions, with functional analysis providing the general framework.
After examining basic properties, the authors study integral means and relationships between the fractional Cauchy transforms and the Hardy and Dirichlet spaces. They then study radial and nontangential limits, followed by chapters devoted to multipliers, composition operators, and univalent functions. The final chapter gives an analytic characterization of the family of Cauchy transforms when considered as functions defined in the complement of the unit circle.
About the authors:
Rita A. Hibschweiler is a Professor in the Department of Mathematics and Statistics at the University of New Hampshire, Durham, USA.
Thomas H. MacGregor is Professor Emeritus, State University of New York at Albany and a Research Associate at Bowdoin College, Brunswick, Maine, USA.\
After examining basic properties, the authors study integral means and relationships between the fractional Cauchy transforms and the Hardy and Dirichlet spaces. They then study radial and nontangential limits, followed by chapters devoted to multipliers, composition operators, and univalent functions. The final chapter gives an analytic characterization of the family of Cauchy transforms when considered as functions defined in the complement of the unit circle.
About the authors:
Rita A. Hibschweiler is a Professor in the Department of Mathematics and Statistics at the University of New Hampshire, Durham, USA.
Thomas H. MacGregor is Professor Emeritus, State University of New York at Albany and a Research Associate at Bowdoin College, Brunswick, Maine, USA.\
More details
Series
Language
English
Place of publication
Oxford
United States
Publishing group
Taylor & Francis Inc
Target group
College/higher education
Professional and scholarly
Professional
Illustrations
50 Illustrations, black and white
Dimensions
Height: 234 mm
Width: 156 mm
Weight
524 gr
ISBN-13
978-1-58488-560-3 (9781584885603)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

Rita A. Hibschweiler
Fractional Cauchy Transforms
E-Book
01/2020
1st Edition
Chapman & Hall/CRC
€73.99
Available for download

Rita A. Hibschweiler
Fractional Cauchy Transforms
E-Book
01/2020
1st Edition
Chapman & Hall/CRC
€73.99
Available for download
Person
Rita A. Hibschweiler is a Professor in the Department of Mathematics and Statistics at the University of New Hampshire, Durham, USA., Thomas H. MacGregor is Professor Emeritus, State University of New York at Albany and a Research Associate at Bowdoin College. Brunswick, Maine, USA.
Content
Introduction. Basic Properties of fa o. Integral Means and the Hardy and Dirichlet Spaces. Radial Limits. Zeros. Multipliers: Basic Results. Multipliers: Further Results. Composition. Univalent Functions. A Characterization of Cauchy Transforms.